Theorems · Theorem · commutative algebra

Submodule.comap_subtype_le_iff

∀ {R : Type u_1} {M : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {p q r : Submodule R M}, Submodule.comap p.subtype q ≤ Submodule.comap p.subtype r ↔ p ⊓ q ≤ p ⊓ r

Defined in

Mathlib.Algebra.Module.Submodule.Range

Cited by

0 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule